Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics

2020/10/08 by José Nicasio, Nicasio, José, James P. Edwards +5 · 1 citation
Physics and Astronomy · #Atomic and Subatomic Physics Research #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #hep-th

paper · pdf · doi:10.48550/arxiv.2010.04160

4 pages plus a supplementary appendix. Slight strengthening of final results

arxiv created 2020/12/18 · arxiv updated 2020/12/22

Abstract

We study the transformation of the dressed electron propagator and the general N-point functions under a change in the covariant gauge of internal photon propagators. We re-establish the well known Landau-Khalatnikov-Fradkin transformation for the propagator and generalise it to arbitrary correlation functions in configuration space, finding that it coincides with the analogous result for scalar fields. We comment on the consequences for perturbative application in momentum-space.

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